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Finding the Third Proportional to 627,812,784 and 1,466,387,424

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Solution

The third proportional to 627,812,784 and 1,466,387,424 is: 3,425,053,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,812,784 : 1,466,387,424 = 1,466,387,424 : x
  2. Step 2: Convert to fraction form
    627,812,784/1,466,387,424 = 1,466,387,424/x
  3. Step 3: Cross multiply
    627,812,784x = 1,466,387,424 × 1,466,387,424
  4. Step 4: Simplify right side
    627,812,784x = 2,150,292,077,265,355,776
  5. Step 5: Solve for x
    x = 2,150,292,077,265,355,776/627,812,784
  6. Step 6: Final answer
    x = 3,425,053,028.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.